Search a number
-
+
133111223010 = 232579163331347
BaseRepresentation
bin111101111111000001…
…1000001001011100010
3110201120202020202020200
41323332003001023202
54140102433114020
6141052255250030
712421422504243
oct1737603011342
9421522222220
10133111223010
11514a78a7017
122196a819916
13c72462bcac
14662a784cca
1536e1077590
hex1efe0c12e2

133111223010 has 192 divisors, whose sum is σ = 354704762880. Its totient is φ = 34626683520.

The previous prime is 133111222999. The next prime is 133111223027. The reversal of 133111223010 is 10322111331.

133111223010 is a `hidden beast` number, since 1 + 331 + 11 + 22 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383605657 + ... + 383606003.

It is an arithmetic number, because the mean of its divisors is an integer number (1847420640).

Almost surely, 2133111223010 is an apocalyptic number.

133111223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133111223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177352381440).

133111223010 is an abundant number, since it is smaller than the sum of its proper divisors (221593539870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133111223010 is a wasteful number, since it uses less digits than its factorization.

133111223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133111223010 its reverse (10322111331), we get a palindrome (143433334341).

It can be divided in two parts, 13311 and 1223010, that added together give a palindrome (1236321).

The spelling of 133111223010 in words is "one hundred thirty-three billion, one hundred eleven million, two hundred twenty-three thousand, ten".